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import torch
import torch.nn as nn
import torch.nn.functional as F
from torch import Tensor
import math
from dataclasses import dataclass
from typing import Optional
# --------------------------
# activation functions
class FNNSwiGLU(nn.Module):
def __init__(self, dim, dim_ff) -> None:
super().__init__()
# we will receive in xW
self.V = nn.Linear(dim, dim_ff, bias=False)
self.W = nn.Linear(dim, dim_ff, bias=False)
def forward(self, x: Tensor) -> Tensor:
""" Compute SwiGLU output of x, the output of the first linear layer. i.e.
FFNSwiGLU(x, W, V, W2) = (Swish1(xW) ⊗ xV )W2.
NOTE: the transformer linear1 layer must be overwritten to identity. This layer only applies
the Swish(xW) * xV. The W2 multiplication is done in the main transformer layer
"""
return F.silu(self.W(x)) * self.V(x)
# ---------------------------------
# padding and position layers
class SinePositionalEmbedding(nn.Module):
def __init__(
self,
dim_model: int,
dropout: float = 0.0,
scale: bool = False,
alpha: bool = False,
):
super().__init__()
self.dim_model = dim_model
self.x_scale = math.sqrt(dim_model) if scale else 1.0
self.alpha = nn.Parameter(torch.ones(1), requires_grad=alpha)
self.dropout = torch.nn.Dropout(p=dropout)
self.reverse = False
self.pe = None
self.extend_pe(torch.tensor(0.0).expand(1, 4000))
def extend_pe(self, x):
"""Reset the positional encodings."""
if self.pe is not None:
if self.pe.size(1) >= x.size(1):
if self.pe.dtype != x.dtype or self.pe.device != x.device:
self.pe = self.pe.to(dtype=x.dtype, device=x.device)
return
pe = torch.zeros(x.size(1), self.dim_model)
if self.reverse:
position = torch.arange(
x.size(1) - 1, -1, -1.0, dtype=torch.float32
).unsqueeze(1)
else:
position = torch.arange(
0, x.size(1), dtype=torch.float32
).unsqueeze(1)
div_term = torch.exp(
torch.arange(0, self.dim_model, 2, dtype=torch.float32)
* -(math.log(10000.0) / self.dim_model)
)
pe[:, 0::2] = torch.sin(position * div_term)
pe[:, 1::2] = torch.cos(position * div_term)
pe = pe.unsqueeze(0)
self.pe = pe.to(device=x.device, dtype=x.dtype).detach()
def forward(self, x: torch.Tensor) -> torch.Tensor:
""" Assumes x of shape (bs, seq_len, dim) """
self.extend_pe(x)
output = x.unsqueeze(-1) if x.ndim == 2 else x
output = output * self.x_scale + self.alpha * self.pe[:, : x.size(1)]
return self.dropout(output)
# --------------------------------
# kv cache blocks
class CacheView:
def __init__(self, cache_k: torch.Tensor, cache_v: torch.Tensor):
self.cache_k = cache_k
self.cache_v = cache_v
@property
def sliding_window(self):
return self.cache_k.shape[1]
class RotatingBufferCache:
"""
This is an example that implements a less naive rotating buffer cache, allowing for variable length sequences.
Allocated cache is rectangular which is wasteful (see PagedAttention for better mechanisms)
"""
def __init__(self, n_layers: int, max_batch_size: int, sliding_window: int, n_kv_heads: int, head_dim: int):
self.sliding_window = sliding_window
self.n_kv_heads = n_kv_heads
self.head_dim = head_dim
self.cache_k = torch.empty((
n_layers,
max_batch_size,
sliding_window,
n_kv_heads,
head_dim
))
self.cache_v = torch.empty((
n_layers,
max_batch_size,
sliding_window,
n_kv_heads,
head_dim
))
def get_view(self, layer_id: int) -> CacheView:
return CacheView(self.cache_k[layer_id], self.cache_v[layer_id])
@property
def device(self):
return self.cache_k.device
def to(self, device: torch.device, dtype: torch.dtype):
self.cache_k = self.cache_k.to(device=device, dtype=dtype)
self.cache_v = self.cache_v.to(device=device, dtype=dtype)
return self
# --------------------------------
# Mistral transformer blocks
# Code for the follow blocks are adapted from
# https://github.com/mistralai/mistral-src
# Thank you Mistral team!
@dataclass
class ModelArgs:
vocab_size: int
dim: int = 1152 # default for mars3 and before: 1024
n_layers: int = 24
head_dim: int = 64 # = dim/n_heads
hidden_dim: int = 3584
n_heads: int = 16
n_kv_heads: int = 16 # default: 8
sliding_window: int = 1792
norm_eps: float = 1e-5
max_batch_size: int = 256
def repeat_kv(keys: torch.Tensor, values: torch.Tensor, repeats: int):
if repeats == 1: return keys, values
keys = torch.repeat_interleave(keys, repeats=repeats, dim=2)
values = torch.repeat_interleave(values, repeats=repeats, dim=2)
return keys, values
def _reshape_for_broadcast(freqs_cis: torch.Tensor, x: torch.Tensor) -> torch.Tensor:
"""
freqs_cis: complex - (seq_len, head_dim / 2)
x: complex - (bsz, seq_len, head_dim / 2)
"""
ndim = x.ndim
assert 1 < ndim
assert freqs_cis.shape == (x.shape[1], x.shape[-1]), (
freqs_cis.shape,
(x.shape[1], x.shape[-1]),
)
shape = [d if i == 1 or i == ndim - 1 else 1 for i, d in enumerate(x.shape)]
return freqs_cis.view(*shape)
def apply_rotary_emb(
xq: torch.Tensor,
xk: torch.Tensor,
freqs_cis: torch.Tensor,
) -> tuple[torch.Tensor, torch.Tensor]:
xq_ = torch.view_as_complex(xq.float().reshape(*xq.shape[:-1], -1, 2))
xk_ = torch.view_as_complex(xk.float().reshape(*xk.shape[:-1], -1, 2))
freqs_cis = _reshape_for_broadcast(freqs_cis, xq_)
xq_out = torch.view_as_real(xq_ * freqs_cis).flatten(3)
xk_out = torch.view_as_real(xk_ * freqs_cis).flatten(3)
return xq_out.type_as(xq), xk_out.type_as(xk)
def precompute_freqs_cis(dim: int, end: int, theta: float = 10000.0) -> torch.Tensor:
freqs = 1.0 / (theta ** (torch.arange(0, dim, 2)[: (dim // 2)].float() / dim))
t = torch.arange(end, device=freqs.device) # type: ignore
freqs = torch.outer(t, freqs).float() # type: ignore
return torch.polar(torch.ones_like(freqs), freqs) # complex64
class Attention(nn.Module):
def __init__(self, args: ModelArgs):
super().__init__()
self.args = args
self.n_heads: int = args.n_heads
self.n_kv_heads: int = args.n_kv_heads
self.repeats = self.n_heads // self.n_kv_heads
self.sliding_window = self.args.sliding_window
self.scale = self.args.head_dim**-0.5
self.wq = nn.Linear(
args.dim,
args.n_heads * args.head_dim,
bias=False
)
self.wk = nn.Linear(
args.dim,
args.n_kv_heads * args.head_dim,
bias=False
)
self.wv = nn.Linear(
args.dim,
args.n_kv_heads * args.head_dim,
bias=False
)
self.wo = nn.Linear(
args.n_heads * args.head_dim,
args.dim,
bias=False
)
def forward(
self, x: torch.Tensor, freqs_cis: torch.Tensor, positions: torch.Tensor, mask: Optional[torch.Tensor], cache: Optional[CacheView]
) -> torch.Tensor:
bsz, seqlen, _ = x.shape
xq, xk, xv = self.wq(x), self.wk(x), self.wv(x)
xq = xq.view(bsz, seqlen, self.n_heads, self.args.head_dim)
xk = xk.view(bsz, seqlen, self.n_kv_heads, self.args.head_dim)
xv = xv.view(bsz, seqlen, self.n_kv_heads, self.args.head_dim)
xq, xk = apply_rotary_emb(xq, xk, freqs_cis=freqs_cis)
# The cache is a rotating buffer
if cache is not None:
scatter_pos = (positions[-self.sliding_window:] % self.sliding_window)[None, :, None, None]
scatter_pos = scatter_pos.repeat(bsz, 1, self.n_kv_heads, self.args.head_dim)
cache.cache_k[:bsz].scatter_(dim=1, index=scatter_pos, src=xk[:, -self.sliding_window:])
cache.cache_v[:bsz].scatter_(dim=1, index=scatter_pos, src=xv[:, -self.sliding_window:])
if positions.shape[0] > 1:
# prefill
key, value = repeat_kv(xk, xv, self.repeats)
else:
cur_pos = positions[-1].item() + 1
key, value = repeat_kv(cache.cache_k[:bsz, :cur_pos, ...], cache.cache_v[:bsz, :cur_pos, ...], self.repeats)
# print(f"Internal: {xq.shape}, key: {key.shape}, mask: {mask.shape} | {mask.dtype} | xq: {xq.dtype} | mask: {mask} ")
# if mask is not None:
# mask = mask[None, None, ...].expand(bsz, self.n_heads, -1, -1)
# mask = mask.to(key.dtype)
query = xq.transpose(1, 2)
key = key.transpose(1, 2)
value = value.transpose(1, 2)
# # scores : [bsz, n_heads, seqlen | 1, seqlen]
# scores = torch.matmul(query, key.transpose(2, 3)) * self.scale
output = F.scaled_dot_product_attention(query, key, value, mask) # (bs, n_local_heads, slen, head_dim)
output = output.transpose(1, 2).contiguous().view(bsz, seqlen, -1)
return self.wo(output)
class FeedForward(nn.Module):
def __init__(self, args: ModelArgs):
super().__init__()
self.w1 = nn.Linear(
args.dim,
args.hidden_dim,
bias=False
)
self.w2 = nn.Linear(
args.hidden_dim,
args.dim,
bias=False
)
self.w3 = nn.Linear(
args.dim,
args.hidden_dim,
bias=False
)
def forward(self, x) -> torch.Tensor:
return self.w2(nn.functional.silu(self.w1(x)) * self.w3(x))
class RMSNorm(torch.nn.Module):
def __init__(self, dim: int, eps: float = 1e-6):
super().__init__()
self.eps = eps
self.weight = nn.Parameter(torch.ones(dim))
def _norm(self, x):
return x * torch.rsqrt(x.pow(2).mean(-1, keepdim=True) + self.eps)
def forward(self, x):
output = self._norm(x.float()).type_as(x)
return output * self.weight
class TransformerBlock(nn.Module):
def __init__(self, args: ModelArgs):
super().__init__()
self.n_heads = args.n_heads
self.dim = args.dim
self.attention = Attention(args)
self.feed_forward = FeedForward(args=args)
self.attention_norm = RMSNorm(args.dim, eps=args.norm_eps)
self.ffn_norm = RMSNorm(args.dim, eps=args.norm_eps)
self.args = args
def forward(
self, x: torch.Tensor, freqs_cis: torch.Tensor, positions: torch.Tensor, mask: Optional[torch.Tensor], cache: Optional[CacheView]
) -> torch.Tensor:
r = self.attention.forward(self.attention_norm(x), freqs_cis, positions, mask, cache)
h = x + r
r = self.feed_forward.forward(self.ffn_norm(h))
out = h + r
return out
class MistralTransformer(nn.Module):
def __init__(self, args: ModelArgs):
super().__init__()
self.args = args
self.vocab_size = args.vocab_size
self.n_layers = args.n_layers
assert self.vocab_size > 0
# self.tok_embeddings = nn.Embedding(args.vocab_size, args.dim)
self.layers = torch.nn.ModuleList(
[TransformerBlock(args=args) for _ in range(args.n_layers)]
)
self.norm = RMSNorm(args.dim, eps=args.norm_eps)
self.output = nn.Linear(
args.dim,
args.vocab_size,
bias=False
)
# self.freqs_cis
self.freqs_cis = precompute_freqs_cis(self.args.head_dim, 128_000)
@property
def dtype(self) -> torch.dtype:
return self.tok_embeddings.weight.dtype
@property
def device(self) -> torch.device:
return self.tok_embeddings.weight.device
def forward(
self,
input_ids: torch.Tensor,
positions: torch.Tensor,
cache: Optional[RotatingBufferCache]
):
h = input_ids
if self.freqs_cis.device != h.device:
self.freqs_cis = self.freqs_cis.to(h.device)
freqs_cis = self.freqs_cis[positions]
mask: Optional[torch.Tensor] = None
if input_ids.shape[1] > 1:
seqlen = input_ids.shape[1]
tensor = torch.full(
(seqlen, seqlen),
dtype=h.dtype,
fill_value=1,
device=h.device,
)
mask = torch.tril(tensor, diagonal=0).to(h.dtype)
# make the mask banded to account for sliding window
mask = torch.triu(mask, diagonal=-self.args.sliding_window)
mask = torch.log(mask)
for layer_id, layer in enumerate(self.layers):
cache_view = None if cache is None else cache.get_view(layer_id)
h = layer(h, freqs_cis, positions, mask, cache_view)
return self.output(self.norm(h))
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